SOLUTION: Solve the equation by completing the square. The equation has real number solutions. 3x^2+5x=2

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Question 1002460: Solve the equation by completing the square. The equation has real number solutions. 3x^2+5x=2
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E2%2B5x=2
3%28x%5E2%2B%285%2F3%29x%29=2
The term which will complete the square is %285%2F%282%2A3%29%29%5E2=%285%2F6%29%5E2; ADD this INSIDE the parentheses on the left member, but add 3%2A%285%2F6%29%5E2 to the right hand side member. Necessary to account for the factorization just performed on the left side.

3%28x%5E2%2B%285%2F3%29x%2B%285%2F6%29%5E2%29=2%2B3%285%2F6%29%5E2, and understand the left side member contains a perfect square product. You do the rest. You could study a lesson about this:
Solving quadratic equation using Completing The Square